Math 107A Test

1. Find all zeros for is a factor . Provide exact answers only.

2. Find the remainder using long division.

3. De termine the value of k if   is a zero of

4. Martha wishes to use 1200 feet of fence to enclose 3 sides of a field. A river will provide the b order for the
other side. Determine the dimensions (width and length) which would provide a maximum area.

5. Given the function determine the line of symmetry .

6. Simplify .

7. Simplify. Write your answer in a + bi form.

8. Solve the following :

9. Which of the fol lowing could not be a rational zero of

10. Given the function with vertex determine p(x) the range of the function.

 

11. The profit function, P, for a company selling n items is given by Determine
the number of units that will produce a maximum profit.

12. Use synthetic division to find the quotient and remainder.

13. Find all the zeros of
2

14. Find a polynomial of lowest degree with real coefficients that has -5 and 3i as some of its zeros.

15. Write as a product of linear factors .

16. Use synthetic division and the remainder theorem to determine the value of p (i) for

17. Find the vertical asymptotes for

18. Find the horizontal asymptotes for

19. Solve

20. Solve

Chapter 2